3528345600 has 864 divisors, whose sum is σ = 14786553600. Its totient is φ = 796262400.

The previous prime is 3528345589. The next prime is 3528345629. The reversal of 3528345600 is 65438253.

It is a happy number.

3528345600 is a `hidden beast` number, since 3 + 5 + 2 + 8 + 3 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113817585 + ... + 113817615.

Almost surely, 2^3528345600 is an apocalyptic number.

3528345600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3528345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393276800).

3528345600 is an abundant number, since it is smaller than the sum of its proper divisors (11258208000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3528345600 is a wasteful number, since it uses less digits than its factorization.

3528345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3528345600 is about 59399.8787877551. The cubic root of 3528345600 is about 1522.3822293980.

The spelling of 3528345600 in words is "three billion, five hundred twenty-eight million, three hundred forty-five thousand, six hundred".